Asbestos is present in many buildings, both public and private, including many school buildings. If there is asbestos in your child's school and it is in good condition, it can remain in place without posing a threat to your child's health.
Schools are required to have an Asbestos Hazard Emergency Response Act (AHERA) plan on-site which includes a survey documenting where all asbestos can be found in the building. The school is required to have an Operations and Maintenance Program and to have the asbestos evaluated on a regular basis to ensure it does not deteriorate and become a hazard. There are standard operating procedures for repairing or removing the asbestos if it does become a hazard.
Contacting your child's school is the only way to know for sure if the building has asbestos in it and how they are maintaining it.